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Consider an ecological niche with three species A, B and C. Their dynamics are given by...

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Advance Math

Consider an ecological niche with three species A, B and C.Their dynamics are given by their population rates shown below

dA/dt=A+B-C … (2a)

dB/dt=-A+2B … (2b)

dC/dt=C-A-B … (2c)

Initially, the niche is in equilibrium with the population ofC=30. Obtain the population densities of the rest of participantsin the niche at its equilibrium. Starting from the point(A=8,B=4,C=10), obtain their individual populations over time t.What if the initial starting point is perturbed to (A=7,B=4,C=10)?Would the system emerge in the same way?

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